46546968000 has 448 divisors, whose sum is σ = 166593877632. Its totient is φ = 11383603200.

The previous prime is 46546967983. The next prime is 46546968019. The reversal of 46546968000 is 86964564.

It is a happy number.

46546968000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 60215614 + ... + 60216386.

It is an arithmetic number, because the mean of its divisors is an integer number (371861334).

Almost surely, 2^46546968000 is an apocalyptic number.

46546968000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46546968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83296938816).

46546968000 is an abundant number, since it is smaller than the sum of its proper divisors (120046909632).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

46546968000 is a wasteful number, since it uses less digits than its factorization.

46546968000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1009 (or 989 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 48.

The spelling of 46546968000 in words is "forty-six billion, five hundred forty-six million, nine hundred sixty-eight thousand".